theorem proof strategies

Theorem proof strategies are systematic approaches used to demonstrate that a statement is true. Common methods include direct proof, where you start from known facts to show the conclusion; proof by contradiction, where assuming the opposite leads to a contradiction; and proof by induction, proving a base case and then showing that if one case holds, the next does too. These strategies help organize logical reasoning, ensuring the proof is clear and convincing. Choosing the right strategy depends on the problem’s nature, guiding you to build a solid argument step by step.